SOLUTION: use the quadratic formula to solve x2 -10x +25 = 12

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: use the quadratic formula to solve x2 -10x +25 = 12      Log On


   

Question 686003: use the quadratic formula to solve x2 -10x +25 = 12
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Step One: set the equation equal to 0
x%5E2-10x+%2B+25+-+12+=+0
so,
x%5E2+-+10x+%2B+13+=+0
apply the quadratic formula x=%28-b%2B-sqrt%28b%5E2-4%28a%29%28c%29%29%29%2F%282%2Aa%29
compare to the standard equation ax^2 + bx + c = 0 and
a = 1, b = -10 and c = 13
therefore,
x+=+%28-%28-10%29%2B-sqrt%28%28-10%29%5E2-4%281%29%2813%29%29%29%2F%282%2A1%29
...
x+=+%2810%2B-sqrt%28100-52%29%29%2F2
...
x+=+%2810%2B-sqrt%2848%29%29%2F2 where sqrt%2848%29+=+sqrt%2816%2A3%29+=+4sqrt%283%29
...
x+=+%2810%2B-4sqrt%283%29%29%2F2
...
x+=+10%2F2+%2B-+4sqrt%283%29%2F2
...
x+=+5+%2B-+2sqrt%283%29
ultimately
highlight_green%28x+=+5+%2B+2sqrt%283%29%29
AND
highlight_green%28x+=+5+-+2sqrt%283%29%29
..............................
Have more questions?
HomeworkHelpers@ReadingBoosters.com.
Delighted to help!
-Reading Boosters
Website: www.MyHomeworkAnswers.com